06_MultiLevelChange_021710 - HDFS 597K February 17, 2009...

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MULTILEVEL MODEL OF CHANGE: HDFS 597K February 17, 2009 HDFS 597K Applied Longitudinal Data Analysis Interindividual Differences in Intraindividual Change: Latent Growth Curve Analysis R. Mapplethorpe, , 1987 f 1 level f 2 slope μ leve l μ slop e σ level, slope = 1 = 1 = 1 = 1 = 1 = 1 = 0 α 1 α 2 α 3 α 4 σ 2 level σ 2 slope 1 y 0 e 0 y 1 e 1 y 2 e 2 y 3 e 3 y 4 e 4 y e 5 σ 2 e σ 2 e σ 2 e σ 2 e σ 2 e σ 2 e = 1 = 1 = 1 = 1 = 1 = 1 Y ti = β 0i + β 1i time ti + e ti β 0i = γ 00 + u 0i β 1i = γ 10 + u 1i Interindiv Diff in Intraindiv Change • Between-person differences in within-person change – Univariate, multi-occasion – Differential developmental (Baltes, 1987) Variable Occasions Persons A collection of Regressions How do we collect the Regressions Level 1 – occasion level (random effects) Y ti = β 0i + β 1i time ti + e ti Level 2 An “ensemble” of Betas Level 2 – An ensemble of Betas
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This note was uploaded on 01/27/2011 for the course HDFS 597 taught by Professor P during the Spring '11 term at Pennsylvania State University, University Park.

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06_MultiLevelChange_021710 - HDFS 597K February 17, 2009...

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